代数循环和三重$K3$汉堡

IF 0.8 4区数学 Q2 MATHEMATICS Arkiv for Matematik Pub Date : 2018-09-26 DOI:10.4310/ARKIV.2019.V57.N1.A9

R. Laterveer

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引用次数: 5

摘要

我们考虑几何属$3$的曲面，它们的超越上同调分裂为$3$块，每个块来自$K3$曲面。对于具有这种性质的某些表面族，我们可以证明在周氏群(和周氏动机)的水平上存在类似的分裂。

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Algebraic cycles and triple $K3$ burgers

We consider surfaces of geometric genus $3$ with the property that their transcendental cohomology splits into $3$ pieces, each piece coming from a $K3$ surface. For certain families of surfaces with this property, we can show there is a similar splitting on the level of Chow groups (and Chow motives).

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